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Finding the Third Proportional to 214,526.06 and 291,353.06

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Solution

The third proportional to 214,526.06 and 291,353.06 is: 395,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,526.06 : 291,353.06 = 291,353.06 : x
  2. Step 2: Convert to fraction form
    214,526.06/291,353.06 = 291,353.06/x
  3. Step 3: Cross multiply
    214,526.06x = 291,353.06 × 291,353.06
  4. Step 4: Simplify right side
    214,526.06x = 84,886,607,028.13
  5. Step 5: Solve for x
    x = 84,886,607,028.13/214,526.06
  6. Step 6: Final answer
    x = 395,693.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.